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1012125744 = 2432719431229
BaseRepresentation
bin111100010100111…
…101000000110000
32121112111022111200
4330110331000300
54033101010434
6244233211200
734036632630
oct7424750060
92545438450
101012125744
1147a356063
12242b60b00
131318c4496
14985c66c0
155dcc9199
hex3c53d030

1012125744 has 240 divisors, whose sum is σ = 3489657600. Its totient is φ = 267369984.

The previous prime is 1012125739. The next prime is 1012125749. The reversal of 1012125744 is 4475212101.

It is an interprime number because it is at equal distance from previous prime (1012125739) and next prime (1012125749).

It is not an unprimeable number, because it can be changed into a prime (1012125749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 822922 + ... + 824150.

It is an arithmetic number, because the mean of its divisors is an integer number (14540240).

Almost surely, 21012125744 is an apocalyptic number.

1012125744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012125744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744828800).

1012125744 is an abundant number, since it is smaller than the sum of its proper divisors (2477531856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1012125744 is a wasteful number, since it uses less digits than its factorization.

1012125744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1012125744 is about 31813.9237441721. The cubic root of 1012125744 is about 1004.0256867658.

Adding to 1012125744 its reverse (4475212101), we get a palindrome (5487337845).

It can be divided in two parts, 1012 and 125744, that added together give a triangular number (126756 = T503).

The spelling of 1012125744 in words is "one billion, twelve million, one hundred twenty-five thousand, seven hundred forty-four".